Lect1_hbari

# Lect1_hbari - Lecture 1 Demystifying h and i We are often...

• Notes
• 7

This preview shows pages 1–5. Sign up to view the full content.

Lecture 1: Demystifying h and i •We are often told that the presence of h distinguishes quantum from classical theories. •One of the striking features of Schrödinger's equation is the fact that the variable, Ψ , is complex, whereas classical theories deal with real variables QM: CM: CE&M: d dt x ( t ) = p H ( x , p ) d dt p ( t ) = x H ( x , p ) d dt v E ( v r , t ) = 1 c 2 v × v B ( v r , t ) d dt v B ( v r , t ) = v × v E ( v r , t )

This preview has intentionally blurred sections. Sign up to view the full version.

•Q: Is h necessary at all? •By changing units we can of course make h disappear from QM •But if it is truly fundamental, shouldn’t this same choice of units make h appear then in CM? •If system has natural length scale and energy scale, then h is needed to relate then to the natural mass scale. i t ψ ( ρ , t ) = 1 2 m 0 m 2 ∂ρ 2 ψ ( ρ , t ) + u ( ρ ) ψ ( ρ , t )
•What happens to CM in these units? •Same mass scale makes CM dimensionless as well !

This preview has intentionally blurred sections. Sign up to view the full version.

•Q: Are Maxwell’s Eq’s ‘classical’ or ‘quantum’?
This is the end of the preview. Sign up to access the rest of the document.
• Fall '09
• M.Moore
• mechanics, dt, Schrodinger, dt ∂p, dt ∂x

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern